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Finding the Fourth Proportional to 554.52, 830.40 and 280.74

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Solution

The fourth proportional to 554.52, 830.40 and 280.74 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.52 : 830.40 = 280.74 : x
  2. Step 2: Convert to fraction form
    554.52/830.40 = 280.74/x
  3. Step 3: Cross multiply
    554.52x = 830.40 × 280.74
  4. Step 4: Simplify right side
    554.52x = 233,126.50
  5. Step 5: Solve for x
    x = 233,126.50/554.52
  6. Step 6: Final answer
    x = 420.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.